2125146961938 has 768 divisors, whose sum is σ = 6370721280000. Its totient is φ = 462715545600.

The previous prime is 2125146961937. The next prime is 2125146961943. The reversal of 2125146961938 is 8391696415212.

It is a super-2 number, since 2×2125146961938² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2125146961937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4609863028 + ... + 4609863488.

It is an arithmetic number, because the mean of its divisors is an integer number (8295210000).

Almost surely, 2^{2125146961938} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125146961938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185360640000).

2125146961938 is an abundant number, since it is smaller than the sum of its proper divisors (4245574318062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2125146961938 is a wasteful number, since it uses less digits than its factorization.

2125146961938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 744 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The spelling of 2125146961938 in words is "two trillion, one hundred twenty-five billion, one hundred forty-six million, nine hundred sixty-one thousand, nine hundred thirty-eight".